iMechanica - books
https://imechanica.org/taxonomy/term/1036
enThe theory of thin shells / Viktor V. Novozhilov
https://imechanica.org/node/19173
<div class="field field-name-taxonomy-vocabulary-8 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/1036">books</a></div><div class="field-item odd"><a href="/taxonomy/term/10888">plate and shells</a></div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>Dear friends</p>
<p>I need "the theory of thin shells" by Novozhilov. As I look for it more and more, I find less and less. Can anyone help me to find that on net?</p>
<p> </p>
<p>Thanks in advance</p>
</div></div></div>Wed, 25 Nov 2015 19:31:34 +0000Meysam Majnooni19173 at https://imechanica.orghttps://imechanica.org/node/19173#commentshttps://imechanica.org/crss/node/19173What would you like for an undergraduate book on QM to explain to you?
https://imechanica.org/node/9791
<div class="field field-name-taxonomy-vocabulary-8 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/838">quantum mechanics</a></div><div class="field-item odd"><a href="/taxonomy/term/976">undergraduate education</a></div><div class="field-item even"><a href="/taxonomy/term/1036">books</a></div><div class="field-item odd"><a href="/taxonomy/term/6006">classical physics</a></div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>
</p>
<p><strong>1. Background:</strong></p>
<p>A couple of things concerning books happened recently, in the last week or two.</p>
<p>(i) Dr. Biswajit Banerjee announced last week that a new book on metamaterials and waves in composites authored by him is coming out in print within a few months.</p>
<p>(ii) In one of my regular visits to bookshops, I noticed a hardcover copy of Prof. Allan Bower's book on mechanics of solids. Someone (or more likely, some institution) in Pune had ordered it, and the copy happened to be lying near the top of the stack. The book had been online for some time and I had browsed through it already. So, now, when I opened the printed version out of curiosity, I directly went to the Preface part. This is how Prof. Bower opens his Preface:</p>
<p>
</p>
<p> Ronald Rivlin, a pioneer in the field of nonlinear elasticity, was asked once whether he intended to write a treatise on his field. "Why should I write a book?" he replied. "<strong>People write books to learn a subject.</strong> I already know it."</p>
<p>[Emphasis in <strong>bold</strong> is mine.]</p>
<p>
</p>
<p>
<strong>2. "People write books to learn a subject:"</strong></p>
<p>That line really hit me---in two different ways.</p>
<p>Firstly, it has always been a part of the folklore among engineering college teachers that the best way to learn a subject is to teach it. I first heard it in 1984 in the teachers' room in Bharati Vidyapeeth's College of Engineering. I had then realized, first-hand, how true the saying was. And, I had wondered right back then: if it is not possible to teach a course, how about writing a book on it---mainly for learning the subject.</p>
<p>Secondly, it occurred to me now that if I were to pick out just one subject that I wish to understand better, it would undoubtedly have to be Quantum Mechanics. And, so the thought became: why not write a book on QM---in order to learn it. The idea is not so objectionable after all. Especially if you consider that most physicists (and all mainstream physicists) assure all the rest of us (and very probably also to themselves) that nobody understands quantum mechanics.</p>
<p>Actually, I was planning to write 2--3 journal papers that would extend and better explain some of the fundamental features of quantum physics as using my new approach. I had been gathering my thoughts and background material together. Yet, the more I thought about it, the better it began looking to me that perhaps it makes sense to first write a book on QM before writing those articles.</p>
<p>
</p>
<p>
<strong>3. A question for you:</strong></p>
<p>So, with those thoughts in mind, I would like to raise the title question to you:</p>
<p><strong>What would you like an undergraduate book on QM to explain to you?</strong> Or, better still (because it makes it more personal): <strong>What do you want me to explain to you, concerning the introductory topics of QM?</strong></p>
<p>By introductory topics, I mean the topics covered in (roughly in the order of increasing depth or complexity): Eisberg and Resnick, Hameka, Phillips, Scherrer, Liboff, Gasiorowicz, etc. Also, many other books falling within this same range, e.g.: Griffiths, Zettilli, etc.</p>
<p>If you have any points to raise in this regard, feel free to do so. I will keep this particular post open for comments until I finish writing the book (whenever I come to do that).</p>
<p>Any one may write me. However, a word about the intended audience and the nature of treatment is in order.</p>
<p>
</p>
<p>
<strong>4. The intended audience and the intended treatment of the book:</strong></p>
<p>The primary intended audience is: 3rd/4th year undergraduate students in engineering and applied sciences. Especially, those who did not have a course on electromagnetic fields beforehand (such as those majoring in mechanical, materials, chemical, aeronautical, etc. areas).</p>
<p>The treatment will follow the historical order of developments. I will begin with a summary of the pre-requisites, including very rapid (and perhaps rather conceptual) surveys (done from my own viewpoint, sort of "an engineer's viewpoint") of such topics as: Newton's laws; partial differential equations; The beginning of the energy- and fields-based reformulation of Newton's mechanics by Leibniz; complex numbers and Euler's identity; Lagrangian reformulation of Newtonian mechanics; relevant matrix theory; Fourier theory; relevant probability theory; Hamilotonian reformulation of Newtonian mechanics; electromagnetic field theory from say Coulomb to Maxwell and Hertz; the eigenvalue problem in classical physics; cavity radiation; special relativity (taken as highlighting certain features of the classical electrodynamics).</p>
<p>The QM proper will begin with Planck, of course, and will closely follow the historical sequence, though the notation might be modern---however, I wish to emphasize that I will not introduce Dirac's notation until he introduces it, so to say. Similarly, I will introduce Heisenberg's matrix mechanics before Schrodinger's wave mechanics. I intend to leave the reader at about 1935, though an appendix or two on entanglement is possible.</p>
<p>I will try to keep the length at about 300 pages at the most. I would love to see if it can be done within 250 pages, but doing so seems not easily possible. I will leave out many conceptual explanations, esp. of the prior theories, primarily because that burden has already been relieved for me in the form of Manjit Kumar's book. In a way, I do see my intended book as being complementary to Kumar's book.</p>
<p>I will cover neither Feynman's reformulation nor Bohm's ideas.</p>
<p>The book will also not be a vehicle to introduce my own approach. However, it is impossible for any author to keep aside his viewpoint, while thinking or writing. In this case, I will try to restrict myself to highlighting the wonderful series of ridiculous conclusions to which the earlier theories lead (often isolated and put forth by the formulators of those theories themselves), and providing some explicit hints for getting out of them. However, in the planned book, I will not go beyond providing hints alone. ... Yes, I will be willing to give out some of the material or thoughts that, properly, should have come in the research articles first. However, as far as journal articles go, frankly, I do not care!</p>
<p>The book <strong>will </strong>carry mathematics. (It won't be addressed to the layman.) It will carry derivations too, but only in simple and essential terms. (By simple, I do not mean: devoting inordinate time to one-dimensional and time-independent cases. Adopting this policy may mean that the book ends up being suitable only to the beginning graduate students of engineering. If so, that would be OK by me.)</p>
<p>Further, I would often provide the derivations in an order other than what is found in the usual treatments. For instance, the prerequisites part itself will cover spherical harmonics---right in the context of classical physics. Also, the angular momentum of the EM field. (Yes, the prerequisites part will be a major part in this book, perhaps 40% of the total material.) The prerequisites part will also point out the issue of the instantaneous action-at-a-distance, right in the PDE section.</p>
<p>In short, it will almost be a university text-book. Except that I don't expect any university to adopt it for their classroom usage! Therefore, there won't be any routine kind of chapter-end exercises, nor a section at the beginning of the chapter motivating the student. However, some pointers for further thought might be provided via notes at the end of the book.</p>
<p>Most readers here at iMechanica (and many of the readers of my personal blog) come from engineering and applied sciences background. They are likely to have run into QM as a part of their courses on modern physics, solid physics, nanomaterials, etc. They might have had run into issues concerning the real QM. I would love it if I can provide answers to their questions. And, it goes without saying that students of "pure" sciences---physics, chemistry, etc.---would be as welcome as those of engineering sciences. This book would be directed at them, not at the layman---or at the philosophers.</p>
<p>Of course, as far as raising the questions go, any one may feel free to submit his query via a comment. (I may not reply every comment at iMechanica; I do not moderate anything here.)</p>
<p>All in all, it would be a book written by an engineer, and primarily for engineering/applied science undergraduates/beginning postgraduate students. There already is an excellent book in this space: Prof. Leon van Dommelen's online book. I really like it, but thought that I would have approached many things differently, and so, thought of writing my book. Most important difference, to my mind, is that I would stick to the historical approach throughout. But, yes, as far as undertaking this huge an effort goes, Prof. van Dommelen's book would remain a kind of an inspiration for me.</p>
<p>
</p>
<p>
<strong>5. One final point: Sample questions:</strong></p>
<p>Some time ago, I had written a list of questions that I thought UG students should ask their professors. However, there were also other topics in that post. For ease of direct referencing, here I am copy-pasting those questions below (with a bit of editing). Go through them and see if you have any other questions you wish to raise:</p>
<p>
</p>
<ol><li>
Why are quantum-mechanical forces conservative?</li>
<li>Does the usual time-dependent Schrodinger’s equation (TDSE) apply to propagation of photons? If yes, why does no textbook ever illustrate TDSE involving photons? If not, what principle goes against applicability of TDSE to photons?</li>
<li>What kind of physics would result if the QM wavefunction were not to be complex-valued but real (scalar)-valued? What if the wavefunction were to be deterministic rather than probabilistic? What contradictions would result in each case?</li>
<li>Does QM at all need an interpretation? If yes, why? Why is it that no other theory of physics seems to need special efforts at interpreting it but only QM does, esp. so if all physics theories ultimately describe the same reality? If QM does not need an interpretation, why do people talk about the phrase: “interpretation of QM”? What do they mean by that phrase?</li>
<li>What, precisely, is the physical meaning of an operator? Please don’t simply repeat for us its definition. Instead, please give us the physical meaning of the concept. Or is it the case that no physical meaning is possible for this concept and that it is doomed to remain an exclusively mathematical concept? If yes, why use it in the postulates of a physical theory—without ever taking the care to define its physical correspondents?</li>
<li>Are all quantum-theoretical operators Hermitian? If yes, why? What physical fact does this property indicate/highlight/underscore? What if they are not Hermitian?</li>
<li>Give one example of an important eigenvalue problem from classical mechanics in which the differential equation formalism is very clearly shown to be equivalent to the matrix formalism.</li>
<li>Does the QM theory necessarily require the concept of a wavepacket when it comes to detailing what a QM particle is? If yes, why? What would happen if it were not a packet of waves but instead just a monochromatic wave? If the theory does not necessarily require packets of waves, then can you suggest us any alternative treatment—if there is one?</li>
<li>In every differential equation we have studied thus far, the primary unknown always carried some or the other physical units/dimensions. For example, for mechanical waves, the primary variable would be the displacement from the equilibrium position. But the QM wavefunction seems to be a dimensionless quantity; at least, textbooks don’t seem to note down any units for it. Is it a dimensionless quantity? Why? What important things does this tell us about the nature of theorization followed in QM?</li>
<li>Is QM an action-at-a-distance theory?</li>
<li>How, precisely, does QM relate to the classical EM? Is the term V(x,y,z,t) in Schrodinger’s equation to be understood in the classical sense? If yes, why do people say that between the two, QM is more basic to EM?</li>
<li>Explain precisely how the Newtonian mechanics is implied by QM.</li>
<li>And, one question I raised yesterday, via a tweet: In the mainstream interpretation---taught to all undergraduates world-wide---it is not meaningful to speak of emission of particles. Particles are never emitted, only absorbed---because only absorption can be "observed." The whole world is a series of absorptions, so to speak. True or false? (Hint: In Keynesian economics, there are only consumers, no producers!)
</li>
</ol><p>
<br />
Those were the questions I thought of, some time ago. ... I am sure you can do better.
</p>
<p>
I now look forward to hearing from you.
</p>
<p>
</p>
<p>
--Ajit
</p>
<p>
Also posted at my personal blog [<a href="http://ajitjadhav.wordpress.com/2011/02/12/what-would-you-like-an-undergraduate-book-on-qm-to-explain-to-you/" target="_blank">^</a>].
</p>
<p>
[E&OE]
</p>
<p>
</p>
</div></div></div>Sat, 12 Feb 2011 09:54:34 +0000Ajit R. Jadhav9791 at https://imechanica.orghttps://imechanica.org/node/9791#commentshttps://imechanica.org/crss/node/9791Books for finite element method for implant and bone
https://imechanica.org/node/7038
<div class="field field-name-taxonomy-vocabulary-6 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/128">education</a></div></div></div><div class="field field-name-taxonomy-vocabulary-8 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/1036">books</a></div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>
Hi there,
</p>
<p>
I am new to Finite element method. I would like to know if their are any books for implants, bones and their interaction.
</p>
<p>
Thank you for your consideration.
</p>
<p>
</p>
</div></div></div>Thu, 05 Nov 2009 10:40:49 +0000gaijininjapan7038 at https://imechanica.orghttps://imechanica.org/node/7038#commentshttps://imechanica.org/crss/node/7038Reading list on solid mechanics for engineering students
https://imechanica.org/node/4997
<div class="field field-name-taxonomy-vocabulary-6 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/77">opinion</a></div></div></div><div class="field field-name-taxonomy-vocabulary-8 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/179">solid mechanics</a></div><div class="field-item odd"><a href="/taxonomy/term/345">study notes</a></div><div class="field-item even"><a href="/taxonomy/term/1036">books</a></div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>
If you are an engineering student and going to study solid mechanics, you may have a question: "what are the best books on solid mechanics which I should read to gain a firm background?" Your advisor may give you some suggestions, but you still want to know what other people read or study. It is better to follow a good reading list to study a subject step by step. And also your advisor may give you a list, but that one may work only for the topics your advisor wants you know. Is there a general reading list one can follow to gain a solid understanding on solid mechanics? This might be a question most students have.
</p>
<p>We have many discussions in iMechanica about the solid mechanics books. You can find some good books in <a href="user/2">Dr Suo</a>'s lecture notes of <a href="node/203">Solid Mechanics</a> class. <a href="user/5578">Allan F Bower</a> has a free online <a href="node/2763">Solid Mechanics Textbook</a>, as <a href="user/134" title="View user profile.">Konstantin Volokh</a> said it is "an encyclopedic textbook covering the most of the modern solid mechanics." In addition, we have a list of <a href="node/1551">Lecture notes on mechanics</a> for all kinds of purposes. It seems we have variety of materials to study. But for a young engineering student who just started to learn solid mechanics. Do we have some suggestions for these to study step by step? I found a bibliography on solid mechanics in <a href="http://esag.harvard.edu/rice/">Dr James R. Rice</a>'s <span>introduction to the continuum mechanics of solids is very helpful. With the help of that, in my opinion, the following might be a good and short reading list for engineering students to study solid mechanics step by step:</span></p>
<ol><li><span>F. P. </span><span>Beer</span><span>, E. R. Johnston, E. R. Eisenberg, <em>et al</em>,<em> <a href="http://highered.mcgraw-hill.com/classware/infoCenter.do?isbn=0072976985">Vector Mechanics for Engineers: Statics and Dynamics</a></em>.</span></li>
<li>F. P. Beer, E. R. Johnston and J. T. DeWolf, <span><a href="http://highered.mcgraw-hill.com/sites/0072980907/information_center_view0/"><em>Mechanics of Materials</em></a>.</span></li>
<li><span>L. E.</span><span> Malvern</span><span>, <em>Introduction to the Mechanics of a Continuous Medium</em>.</span></li>
<li><span>S. </span><span>Timoshenko and J. N. Goodier, <em>Theory of Elasticity</em>.</span></li>
<li><span>A. E. </span><span>Green and W. Zerna<em>, Theoretical Elasticity</em>.</span></li>
<li><span>L. D.</span><span> Landau</span><span> and E. M. Lifschitz,<em> Theory of Elasticity</em>.<br /></span></li>
</ol><p>
The last three books are for advanced students who are going to study Elasticity. I am going to keep this list up to date. Because I am still learning this subject, please let me know if you have some comments.
</p>
<p>
</p>
</div></div></div>Sat, 07 Mar 2009 18:02:01 +0000Kewei Li4997 at https://imechanica.orghttps://imechanica.org/node/4997#commentshttps://imechanica.org/crss/node/4997An e-book on engineering fracture mechanics
https://imechanica.org/node/1535
<div class="field field-name-taxonomy-vocabulary-6 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/128">education</a></div></div></div><div class="field field-name-taxonomy-vocabulary-8 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/32">fracture mechanics</a></div><div class="field-item odd"><a href="/taxonomy/term/1036">books</a></div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>
Here is <a href="http://apm.iitm.ac.in/smlab/kramesh/book_4.htm" title="E-book on engineering fracture mechanics">an e-book on Engineering Fracture Mechanics</a> ; you can also download a demo version, the preface, and other related stuff from the page. The idea of the book (as described in the page) sounds interesting:
</p>
<p> This e-book is innovative in many ways. In this, a novel attempt is made to<br />
mimic the class room environment of developing the concepts through a series of careful steps. Text and animations are juxtaposed on a single screen for convenient learning. The textual matter is in the form of points and in many cases it synchronizes with the diagram or animation. This form of presentation is hoped to provide a semblance of class room teaching while viewing it on one’s PC. Voice is intentionally not recorded, so that any one can provide additional explanations based on the material provided. The mathematical derivations are developed such that the slides pause at predefined steps allowing the learner to think and answer or help the teacher to make the class participate while using the e-book for teaching. (...) While using the e-book, the user has to participate in the learning process. It is suggested that the learner sits with a pen and paper and view the e-book on his/her PC to learn the course.</p>
<p> The e-book has fourteen chapters. In each chapter, the contents page has an animation which indicates the learning goals for that chapter. To completely cover the slides provided, one would require a minimum of sixty hours. Depending on the nature of the class/teacher one can choose selected topics, so that a one semester (42 lectures) first level course on Fracture mechanics could be delivered.
</p>
<p>
Here is <a href="http://www.ias.ac.in/resonance/June2007/p86-88.pdf" title="Resonance --Prof. Simha's review">a review of the book in Resonance by Prof. KRY Simha (pdf)</a> who strongly recommends the book (though, I think, all the stuff about <em>bright minds leaving their disciplines for desultory jobs</em> is unwarranted in a review of this sort).
</p>
<p>
Unfortunately, the book page does not mention the price of the book (which is not a good sales strategy). I also have a small complaint about the Linux unfriendliness of the book. In any case, for those who teach fracture mechanics, the book might be of interest.
</p>
</div></div></div>Sun, 10 Jun 2007 22:44:38 +0000Mogadalai Gururajan1535 at https://imechanica.orghttps://imechanica.org/node/1535#commentshttps://imechanica.org/crss/node/1535